F(x) = x2 + 5x – 1 is shifted 3 units left. the result is g(x). what is g(x)? a. g(x) = (x – 3)2 + 5(x – 3) – 1 b. g(x) = x2 + 5x + 2 c. g(x) = (x + 3)2 + 5x – 1 d. g(x) = (x + 3)2 + 5(x + 3) – 1

g(x) =  (x+3)² + 5(x+3) – 1.

Step-by-step explanation:

Given  : f(x) = x² + 5x – 1 is shifted 3 units left.

To find : The result is g(x). What is g(x).

Solution : We have given that

f(x) = x² + 5x – 1  is shifted 3 units left.

By the transformation rule : If f(x) →→ f(x +h) shifted by h unit left .

f(x) = x² + 5x – 1 is shifted 3 units left.

Here , h = 3

Then g(x) =  (x+3)² + 5(x+3) – 1.

Therefore,  g(x) =  (x+3)² + 5(x+3) – 1.

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: